31382244672 has 336 divisors, whose sum is σ = 92705895360. Its totient is φ = 9339273216.

The previous prime is 31382244671. The next prime is 31382244743. The reversal of 31382244672 is 27644228313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31382244671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162602208 + ... + 162602400.

Almost surely, 2^31382244672 is an apocalyptic number.

31382244672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31382244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46352947680).

31382244672 is an abundant number, since it is smaller than the sum of its proper divisors (61323650688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31382244672 is a wasteful number, since it uses less digits than its factorization.

31382244672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 299 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The spelling of 31382244672 in words is "thirty-one billion, three hundred eighty-two million, two hundred forty-four thousand, six hundred seventy-two".